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2 years ago

A line passes through the point(8,-5) and has a slope of " -3" Write an equation for this line.

Mathematics

2 answers:

shepuryov [24]2 years ago

3 0

Answer:

y=3x-29

Step-by-step explanation:

y=3*8*b

-5=3*8*b

b = 29

use slope-intercept formula

balandron [24]2 years ago

3 0

Answer:

$y =-3x+19$

Step-by-step explanation:

Let's refer to the formula for crafting linear equations:

$y-x_{1} =m(x-x_{1} )$

Now, substitute the given values in the formula and calculate:

$y-x_{1} =m(x-x_{1} )\\\\y-(-5) =-3(x-(8))\\\\y+5 =-3x+24\\\\y =-3x+24-5\\\\y =-3x+19\\$

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Answer:

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Step-by-step explanation:

For this case we have the following function:

$P(t) = 1.6 t^2 -11t +44$

Where P represent the annual net income for the period 2007-2011 and $2 \leq t \leq 7$

And t represent the time in years since the start of 2005

In order to find the lowet income we need to use the derivate, given by:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

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